## IBDP Mathematics Applications & Interpretations HL Chapter 6 Notes

MATRIX AND ALGEBRA

STUDY NOTES FOR MATHEMATICS – CHAPTER 6 – MATRIX AND ALGEBRA

These notes have specially been curated by expert teachers to simplify and enlighten concepts given in IB Mathematics HL. The notes are comprehensive in nature and are sufficient to study the chapter in depth and one need not look for other resources beyond the notes provided on our website which can be accessed for free. The notes for Mathematics IBDP HL are available on our official website and can be downloaded for free. You are one click away from obtaining all that you need to score well in IB Mathematics HL.

All DP mathematics courses serve to accommodate the diverse range of needs, interests and abilities of students, and to fulfill the requirements of various university and career aspirations. The aims of these courses are to enable students to: develop mathematical knowledge, concepts, principles, logical, critical and creative thinking, employ and refine their powers of abstraction and generalization. Students are also encouraged to appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives.

A matrix is a rectangular array of numbers arranged in rows and columns. The order of a matrix with m rows and n columns is m ✕ n. Two matrices are equal if they have the same order and the elements in corresponding positions are equal. To add two matrices, they must be of the same order and we add corresponding elements. To subtract matrices, they must be of the same order and we subtract corresponding elements. Eigenvalues and eigenvectors are properties of square matrices. If A is a square matrix and if x is a non-zero vector and ƛ is a constant such that Ax = ƛx, then ƛ is an eigenvalue of A and x is its corresponding eigenvector. A non-zero square matrix is considered to be diagonal if the elements not on its leading diagonal are zero. 